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JEE Main 2021 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 31 August 2021, Shift 2, Maths Q83

Question 83 of 90 in this shift, Maths question 23 of 30, Section B.

If the coefficient of

\mathrm{a}^7\mathrm{b}^8

in the expansion of

(\mathrm{a}+2\mathrm{b}+4\mathrm{ab})^{10}

is

\mathrm{K}\cdot 2^{16}

, then

\mathrm{K}

is equal to ______________.

Official answer

315

NTA final key.

Chapter: Binomial Theorem
Topic: Permutations and Combinations
Idea tested: Multinomial Theorem in Counting

Same idea in other shifts

Asked 2× in all

13 Apr 2023, Shift 1 · Q22The number of seven digit positive integers formed using the digits 1, 2, 3 and 4 only and sum of the digits equal to 12 is ________.HardNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.